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682563948 = 2231113937201
BaseRepresentation
bin101000101011110…
…001100101101100
31202120100211201020
4220223301211230
52344214021243
6151421414140
722625461233
oct5053614554
91676324636
10682563948
11320320440
1217070a350
13ab545cc1
1466919b1a
153edcb283
hex28af196c

682563948 has 48 divisors (see below), whose sum is σ = 1749982080. Its totient is φ = 205344000.

The previous prime is 682563929. The next prime is 682563949. The reversal of 682563948 is 849365286.

682563948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 682563948.

It is not an unprimeable number, because it can be changed into a prime (682563949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253 + ... + 36948.

It is an arithmetic number, because the mean of its divisors is an integer number (36457960).

Almost surely, 2682563948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682563948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874991040).

682563948 is an abundant number, since it is smaller than the sum of its proper divisors (1067418132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

682563948 is a wasteful number, since it uses less digits than its factorization.

682563948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37358 (or 37356 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 682563948 is about 26125.9248257358. The cubic root of 682563948 is about 880.4697681197.

The spelling of 682563948 in words is "six hundred eighty-two million, five hundred sixty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 139 278 417 556 834 1529 1668 3058 4587 6116 9174 18348 37201 74402 111603 148804 223206 409211 446412 818422 1227633 1636844 2455266 4910532 5170939 10341878 15512817 20683756 31025634 56880329 62051268 113760658 170640987 227521316 341281974 682563948